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Overview of Multiplication and Division Strategies in Real-Life Applications

This comprehensive overview explores various strategies to solve multiplication and division problems, emphasizing real-life scenarios. Key concepts include equal groups, area arrays, combinations, and relative comparisons. The text presents practical examples such as calculating the amount of gasoline needed for mowing a lawn multiple times, determining the area of rectangular lawns, and understanding ratios of different lawn sizes. It encourages teachers to provide diverse problems to enhance students' problem-solving skills while considering different perspectives.

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Overview of Multiplication and Division Strategies in Real-Life Applications

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Presentation Transcript

  1. Operation Action Multiplication and Division

  2. Overview • Equal Groups • Area/Arrays • Combinations • Relative Comparison

  3. Equal GroupsTotal Objects Unknown It takes 8 gallons of gasoline to mow the lawn one time. How much gasoline will it take to mow the lawn 7 times.

  4. Equal GroupsNo. of Grps. Unknown It takes 8 gallons of gasoline to mow the lawn one time. If 56 gallons of gasoline have been used this season, how many times has the lawn been mowed?

  5. Equal GroupsNo. of Objs./Grp. Unknown If 56 gallons of gasoline have been used to mow the lawn 7 times, how much gasoline will it take to mow the lawn one time?

  6. Area/ArraysArea Unknown A rectangular lawn is 8 yards long and 7 yards wide. What is the area of the lawn?

  7. Area/ArraysDimension Unknown A rectangular lawn has an area of 56 square yards. If it is 7 yards wide, how long is the lawn?

  8. Relative ComparisonsRatio Unknown The front lawn has an area of 8 square yards. The back lawn has an area of 56 square yards. How many times larger is the back lawn than the front lawn?

  9. Relative ComparisonOne value unknown The front lawn has an area of 8 square yards. The area of the back lawn is 7 times the area of the front lawn. What is the area of the back lawn?

  10. Relative ComparisonOne value unknown The back lawn has an area of 56 square yards. The area of the back lawn is 7 times the area of the front lawn. What is the area of the front lawn?

  11. Cautions • Not everyone sees problems the same way, it is not the classification itself that matters it is that teachers provide problems in all categories.

  12. Example A toy sells for $15. Gary has $9. How much more money does he need to buy the toy?

  13. Start/Change/End • Gary has $9 how much more money will he have to get to make $15?

  14. Part/Part/Whole • Gary has $9, what can be put with the $9 to make $15.

  15. Absolute Comparison • How does the cost of the toy compare to the money Gary has?

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